Many recent studies have shown that the initiation of human cancer is due to the malfunction
of some genes at the R-checkpoint during the G1-to-S transition of the cell cycle. Identifying
and modeling the dynamics of these genes has a paramount advantage in controlling and, possibly,
treating human cancer. In this study, a new mathematical model for the dynamics of a
cancer sub-network concentration is developed. Positive equilibrium points are determined and
rigorously analyzed. We have found a condition for the existence of the positive equilibrium
points from the activation, inhibition and degradation parameter values of the dynamical system.
Numerical simulations have also been carried out. These results confirm analyses in the
literature.
